Question
Define complementary angles.

Answer

Complementary Angles: Two angles, the sum of whose measures is 90°, are called complementary angles.
Thus,
angles $\angle\text{BAX}$ and $\angle\text{XAC}$ are complementary angles.
If x + y = 90°

Example 1: Angles of measure 50° and 40° are complementary angles, because
50° + 40° = 90°
Example 2: Angles of measure 60° and 30° are complementary angles, because
60° + 30° = 90°

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